Answers
Answer:
> -24.32 I hope that help so it is a on your screen
Related Questions
If Santa drives at an average speed of 60 miles per hour for a distance of 1,260 miles, how long will Santa's trip take?
Answers
Step 1: Speed is defined as the rate of covering a distance, mathematically it is given by
[tex]\begin{gathered} S\text{peed}=\frac{\text{distance}}{\text{time}} \\ S=\frac{d}{t} \end{gathered}[/tex]Step 2: Make the time (t) of the subject in the above speed formula
[tex]t=\frac{d}{S}[/tex]Step 3: Given the distance covered and the average speed used during the trip as
[tex]\begin{gathered} S=60\text{miles per hour} \\ d=1260\text{ miles} \end{gathered}[/tex]Step 4: Substitute the values for distance and speed in the time formula in step 2
[tex]\begin{gathered} t=\frac{d}{S} \\ t=\frac{1260}{60} \\ t=21\text{ hours} \end{gathered}[/tex]Hence, Santa's trip will take up to 21 hours
Answer:
To find out the time required to travel the distance of 1260 miles we need to divide the total distance travelled by the distance travelled in one hour.
[tex]1260/60=21[/tex]
So, it tool 21 hours for Santa to complete the trip
d = 12 cm42°Find the area of the green sector.
Answers
We will determine the area of the green section as follows:
[tex]A=r^2\cdot\frac{\alpha}{2}[/tex]Here alpha is the angle [In radians] and r is the radius-
*First: We determine the angle:
[tex]\alpha=360-42-180\Rightarrow\alpha=138[/tex]Now, we transform it to radians:
[tex]138\cdot\frac{\pi}{180}=\frac{23}{30}\pi[/tex]*Second: We replace on the equation:
[tex]A=(6)^2\cdot\frac{(\frac{23}{30}\pi)}{2}\Rightarrow A=\frac{69}{5}\pi[/tex]So, the area of the green sector is 69pi/5 square centimeters. [Approximately 43.4 square centimeters]
Answer:
A ≈ 43.4 cm²
Step-by-step explanation:
the area (A) of the green sector is calculated as
A = area of circle × fraction of circle
given d = 12 then r = 12 ÷ 2 = 6 cm
the central angle of the green sector = 180° - 42° = 138°
then
A = πr² × [tex]\frac{138}{360}[/tex] ( simplify fraction by dividing numerator/denominator by 6 )
= π × 6² × [tex]\frac{23}{60}[/tex]
= 36π × [tex]\frac{23}{60}[/tex]
= [tex]\frac{36\\pi (23) }{60}[/tex]
≈ 43.4 cm² ( to the nearest tenth )
using a survey, we have obtained a large dataset of how many close friends people have. its mean is 7 and its median is 4. the variance is 100. we calculate the standard scores. what is the value of the median of the standardized dataset? group of answer choices
Answers
For the standardized dataset , the value of median = mean , which is equal to 7
The mean of the close friends people have = 7
The variance = 100
Standard deviation can be found using the formula
v = σ²
where v is the variance and
σ is the standard deviation
Then , σ² = 100
σ = √100
σ = 10
Therefore , the standard deviation for the close friends have is 10
The standard score for these vales can be found using the formula
Z = (X - μ) / σ
where Z is the standard score
X is the raw score
μ is the mean
σ is the standard deviation
Using this formula, the standard score of any raw score can be calculated.
For, the standardized dataset , the value of median will be equal to value of median.
Median = mean
Median = 7
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I just need the answer
Answers
At x=0
[tex]\begin{gathered} f(x)=14 \\ c=14 \end{gathered}[/tex]at x=1
[tex]\begin{gathered} f(x)=10.5 \\ a+b=10.5-14 \\ a+b=-3.5 \end{gathered}[/tex]at x=2
[tex]\begin{gathered} f(x)=8 \\ 4a+2b=8-14 \\ 4a+2b=-6 \end{gathered}[/tex]a=1/2
So correct option is (c).
Is the ordered pair a solution of the equation?
y = -6x - 14, (-5,16)
a. yes
b. no
Answers
Answer:
a. Yes
Step-by-step explanation:
If you plug in the ordered pairs, the -5 is x and 16 is y.
The equation would look like this:
16=30x-14
Add 14 on both sides
14+16=30
30=30x
divide by 30 on both sides
1=1
a. Yess
I baked a cake for my siblings. My brother ate \large \frac{1}{8} of the cake and my sister ate \large \frac{3}{4}. How much of the cake is left for me?
Answers
In a case whereby I baked a cake for my siblings ad My brother ate large fraction 1/8 of the cake and my sister ate \large frac 3/4 , the amount of cake is left for me is 1/8.
How can the amount of the cake remaining can be calculated?In this question , we are dealing with fraction, which implies that the number of the cake that i am having is 1.
And we are told that 1/8 of the cake is been eaten by my brother, where 3/4 of the cake is been eaten by my sister, then to know the amount of cake that was left for me, we will need to perform some simplification as:
1-(1/8) - (3/4) =1/8.
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If a cake is baked, In which her brother ate 1/8 and sister ate 3/4. Then 1/8 of cake is left me.
What is Fraction?A fraction represents a part of a whole
Given that a cake was baked for her siblings.
Her big brother ate large part of the cake that is 1/8.
Her sister ate 3/4 of the cake.
We need to find the left out cake for her.
To do that we have to remove 1/8 and 3/4 from 1.
1-(1/8)-(3/4)
(8-1-6)/8
1/8
Hence she has 1/8 of cake which is left.
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Consider the polynomial function p(x)=-4x³-6x²+16+24. find the end behavior of the graph of p(x). explain your answer
Answers
I will ask my question here
is p(x)
[tex]\begin{gathered} p(x)=-4x^3-6x^2+16x+24 \\ \lim _{x\to\infty}-4x^3-6x^2+16x+24=\lim _{x\to\infty}-4x^3=-4\lim ^{}_{x\to\infty}x^3=-4\infty=-\infty \\ \\ \end{gathered}[/tex]bye :)
The equation for line s can be written as y = 3/10x + 8. Line t is parallel to lines and passes through (-7, -2). What is the equation of line t? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Answers
A line's equation written using a single point on the line and the line's slope is referred to as the point-slope form. The slope is the rise over run, or the ratio of the change in the y values over the change in the x values, and the point form is denoted as (x,y).
What is the line's slope-intercept form?The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.y= 3 / 10x + 8
The slope-intercept form isy=mx+b, where
m is the slope and b is the y-intercept.y=mx+b
Reorder termsy=3/ 10x+8
Use the slope-intercept form to find the slope and y-intercept.Using the formula y = m x + b, determine the values of m and b.m=3/10 b=8
The value of m represents the line's slope, and the value of b represents the y-intercept.Slope: 3/ 10, and the y-intercept is at (0, 8).
Two points can be used to graph any line. To determine the corresponding y values, enter the equation with two chosen x values.Phrase reordering y = 3 /10 x + 8The x and y values should be put into a table.x y
0 8
10 11.
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Help me with this please
Answers
Answer: say can't help
Step-by-step explanation:
a person had $14,000 infested in two accounts, one paying 9% simple interest and one paying 10% simple interest. how much was invested in each account if the interest at the one year is $1339?
Answers
Given:
a.) A person had 14,000 infested in two accounts.
b.) One paying 9% simple interest.
c.) One paying 10% simple interest.
Let,
x = the amount invested at 9% simple interest
y = the amount invested at 10% simple interest
1.) We know the total amount of money invested is $14,000. We get,
x + y = 14,000
2.) We know that the total interest for the year for the two accounts is $1432. We get,
0.09*x + 0.1*y = 1,339
Let's equate the two equations,
x = 14,000 - y (Substitute for x)
0.09*(14,000 - y) + 0.1*y = 1,339
1,260 - 0.09y + 0.1y = 1,339
0.1y - 0.09y = 1,339 - 1,260
0.01y = 79
0.01y/0.01 = 79/0.01
y = 7,900
Therefore, $7,900 was invested at the rate of 10% simple interest.
Let's determine x, substituting y = 7,900 in x + y = 14,000.
x + y = 14,000
x + 7,900 = 14,000
x = 14,000 - 7,900
x = 6,100
Therefore, $6,100 was invested at the rate of 9% simple interest.
Evaluate. 34+(12+14)2⋅2 Enter your answer as a mixed number in simplest form by filling in the boxes. $$
Answers
The result of 34+(12+14)2.2 in the mixed fraction is [tex]91\frac{1}{5}[/tex]
The expression is
34+(12+14)2.2
The mixed fraction is defined as the fraction that consist of one whole number part and a simple fraction part. simple fraction is the fraction that consist of numerator and denominator as whole numbers. The top term of the simple fraction is called numerator and bottom term of the simple fraction is called denominator.
The expression is
=34+(12+14)2.2
First do the arithmetic operation in the bracket
= 34 + 26×2.2
Do the Multiplication
= 34+57.2
= 91.2
Convert the decimal form to simple fraction
91.2 = 456/5
Convert the simple fraction to the mixed fraction
456/5 = [tex]91\frac{1}{5}[/tex]
Hence, The result of 34+(12+14)2.2 in the mixed fraction is [tex]91\frac{1}{5}[/tex]
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Solve for u.u^2-u-12=0If there is more than one solution, separate them with commas.If there is no solution, click on "No solution."
Answers
we have the quadratic equation
[tex]u^2-u-12=0[/tex]we have that
a=1
b=-1
c=-12
Applying the formula to solve a quadratic equation
[tex]u=\frac{-(-1)\pm\sqrt{-1^2-4(1)(-12)}}{2(1)}[/tex][tex]u=\frac{1\pm7}{2}[/tex]The values of u are
u=4 and u=-3
therefore
The answer is
u=-3,4The graphs below have the same shape. What is the equation of the blue graph? G(x) = _ A. G(x) = x2 + 5 B. G(x) = (x + 5)2 C. G(x) = x2 - 5 D. G(x) = (x - 5)2
Answers
The blue graph is represented by the equation g(x) = (x - 5)²
How to determine the equation represented by the blue graph?The possible graph that completes the question is added as an attachment
From the attached graph, we have the following parameters
Red graph = f(x)Blue graph = g(x)Also from the graph, we have the equation of the function f(x) to be
f(x) = x²
Solving further, we can see that:
The function g(x) is on the same level as the function f(x) Also, the function has the same size as .f(x)The only difference is that, f(x) is shifted to the right by 5 units
This means that
g(x) = f(x - 5)
So, we have
g(x) = (x - 5)²
Hence, the blue graph equation is g(x) = (x - 5)²
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which is an equation of the line through the origin and (-5,6)
Answers
The equation of a line through the origin and (-5,6) is y = -1.2x
How to determine the equationIt is important to note that the equation of a line is expressed as;
y = mx + c
Where;
y is the point on the y - axism is the slope of the linex is the point on the x - axisc is the intercept on the y axisFrom the information given, we have the points;
(0, 0) and ( -5, 6)
The formula for slope is given as;
slope, m = y₂ - y₁/ x₂ -x₁
slope, m = 6 - 0/ -5 - 0
slope, m = 6/ -5
slope, m = - 1. 2
To determine the intercept, we have;
6 = -1. 2(-5) + c
expand the bracket
c = 6 - 6
c = 0
The equation is given as;
y = -1.2x
Hence, the equation is y = -1.2x
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Write the sentence as an equation.
271 decreased by k is 230
Answers
hope this helps!! <33
On Saturday mornings, Emmet volunteers at the hospital where his mother works. One Saturday, he answers phone calls at the information desk while the receptionist is away. Then he spends 25 minutes delivering flowers to patients' rooms. In all, Emmet volunteers at the hospital for 45 minutes that day.
Which equation can you use to find the amount of time t that Emmet answers phone calls?
Answers
The equation used to find the amount of time Emmet answers phone calls is t +25= 45
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The amount of time Emmet answers phone calls = 20
She spends delivering flowers to patient's room= 25 minutes
She spends meetings volunteering at the hospital= 45
Let t be the amount of time Emmet answers phone calls in the hospital
Hence the equation used to calculate the amount of time spent on calls;
t + 25= 45
Now collect the like terms;
t= 45-25
t= 20
Hence, The equation used to find the amount of time Emmet answers phone calls is t +25= 45
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Can someone solve this I don’t understand the graph
Answers
The graph given in the problem is the function of cosine that is;
y = -cos x
How to find the function which was used to make a graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it. If the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Suppose that we've got:
f(x) = a cos (bx - c) + d
Then, this function has the Amplitude (the maximum distance of the graph from the middle line) = a
Period = [tex]\dfrac{2\pi}{b}[/tex]
Phase shift = [tex]\dfrac{c}{b}[/tex]
Maximum value: a + d
Minimum value: -a + d
Here we can see that the graph is the function of cosine that is;
y = -cos x
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HELP ME PLEASE ASAP!! GIVING BRAINLIEST AND POINTS! :)
If Rob purchases a car that depreciates at a rate of 6% each year, how much will the car be worth after 10 years?
Answers
After 10 years, the car will be worth 0.54 of the price when Rob purchases it. The result is obtained using the exponential depreciation equation.
How to calculate depreciation?The depreciation can be calculated by the exponential depreciation equation.
y = P (1 - r)ˣ
Where
y = the value after a period of yearsP = the original valuer = the depreciation ratex = the number of periodeIf given
r = 6%x = 10 yearsHow much will the car be worth after 10 years?
The depreciation rate would be
r = 6%
r = 6/100
r = 0.06
So, after 10 years, the car would be worth
y = P (1 - r)ˣ
y = P (1 - 0.06)¹⁰
y = P (0.94)¹⁰
y = P (0.54)
y = 0.54P
Hence, after 10 years, the car will be worth 0.54 of its original price.
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28-6x=2x-84
Prove: x = 14
Answers
28-6x = 2x -84
Add 6x to both sides:
28 = 8x -84
Add 84 to both sides
112 = 8x
Divide both sides by 8
X = 112/8
X = 14
a restaurant employs 16 people, 8 of whom are women. if five employees are chosen randomly to receive tickets to a concert, what is the probability (to two decimal places) that three of them will be women? use the hypergeometric distribution.
Answers
The probability that 3 of the people chosen would be women = 0.36.
Probability is basically a numerical description of how likely an event is supposed to happen. It is a number something between 0 and 1.
total number of people = 16
total number of women = 8
number of chosen employees randomly to receive tickets to a concert = 5
probability to find = that 3 of them will be women
Therefore, we can conclude that the probability of 3 of the chosen people will be women is 0.36.
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Write an exponential expression equivalent to 8^3 that has a base of 2.
Answers
Answer:
2^9
Step-by-step explanation:
8 is [tex]2^3\\[/tex], so we can replace [tex]8^3[/tex] for [tex](2^3)^3[/tex]
Exponents separated by parenthesis, multiply.
So [tex](2^3)^3=2^9[/tex]
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
A button hyperlink to the SALT program that reads: Use SALT.
= 6; = 2
P(5 ≤ x ≤ 9) =
Answers
The probability P(5 ≤ x ≤ 9) is 0.6847
Assume that x has a normal distribution
We have been the mean and standard deviation μ = 6; σ = 2.
To calculate this probability we use the standardized normal distribution and the z-value for 5 and 9.
z = (5 - 6)/2
= -0.5
and z = (9 - 6)/2
= 1.5
Then the probability is calculated as:
P(x ≤ 5) = 0.3085
P(x ≤ 9) = 0.9932
P(5 ≤ x ≤ 9) = 0.9932 - 0.3085
P(5 ≤ x ≤ 9) = 0.6847
Therefore, the probability P(5 ≤ x ≤ 9) is 0.6847
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subtract (17x^2-6x+12) from (21x^2+13x-9)
Answers
we will solve as follows:
[tex](21x^2+13x-9)-(17x^2-6x+12)=4x^2+19x-21[/tex]Find the Value of X in each case. RSM geo Lesson 9, 24d
Answers
The value of x in the triangle is 17 degrees.
How to find angle in a triangle?A triangle is a polygon with three sides and angles.
The sum of angles in a triangle is 180 degrees.
Therefore, ABC is a triangle and CDE is a also a triangle.
Let's find the angle x in the triangle CDE.
Hence,
∠ACB = 180 - 4x - 49 (sum of angles in a triangle is 180 degrees)
∠ACB = 180 - 49 - 4x
∠ACB = 131 - 4x
Therefore,
180 = ∠DCE + ∠DEC + ∠CDE
∠CDE = 100°
∠DEC = x
∠DCE = ∠ACB = 131 - 4x
Hence,
180 = 131 - 4x + x + 100
180 = 231 - 4x + x
180 - 231 = -3x
-51 = -3x
divide both sides by -3
x = -51 / -3
x = 17
Therefore,
x = 17
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¡¡¡Help with this!!!
Answers
The value of sin 2x=0.8304 ,cos 2x=0.557,tan 2x=1.498 when the value of tan x is 8/15 and using the trigonometry identities as tan x as the formula in sin 2x, cos 2x, tan 2x.
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six common trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and abbreviations (csc).
What is trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.
sin 2x=2 tan x/(1+(tan x)²)
cos 2x=(1-(tan x)²)/(1+(tan x)²)
tan 2x=sin 2x/cos 2x=2 tan x/(1-(tan x)²)
Here,
tan x=8/15
sin 2x=2 tan x/(1+(tan x)²)
= 2*8/15/(1+(8/15)²)
=(16/15)/(289/225)
=(16*15)/(289)
≈0.8304
cos 2x=(1-(tan x)²)/(1+(tan x)²)
=(1-(8/15)²)/(1+(8/15)²)
=(225-64)/(225+64)
≈0.557
tan 2x=sin 2x/cos 2x
tan 2x= 0.8304/0.557
=1.498
≈1.5
When the value of tan x is 8/15, the values of sin 2x=0.8304, cos 2x=0.557, and tan 2x=1.498 using the trigonometry identities as tan x as the formula in sin 2x, cos 2x, tan 2x.
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Which of the following is the correct expansion of the binomial (x + y)6?
A.
x6 + 6x5y + 15x4y2 + 20x³y3 + 15x²y4 + 6xy5+y6
B. x6 + 155y + 6x4y2 + 20x³y3 + 6x²y + 15xy5+y6
C. x6 + 6x55+ 15x4y4 + 20x³y3 + 15x²y² + 6xy¹+y6
D. x6 + 6x5y + 20x4y² + 15x³y3 + 20x²y4 + 6xy5+y6
Answers
Option a is correct using algebric formulas.
What is (x + y)³ and (x + y + z)² formula?(x + y)³ = x³ + y³ +3xy( x + y )
(x + y + z)² = x² + y² + z² + 2( xy + yz + zx )
So breaking it into
(( x + y )³)² = (x³ + y³ +3xy( x + y ))²
(x³ + y³ +3xy( x + y ))² = x^6 + y^6 + 9x²y²(x² + y² + 2xy) + 2( x³y³ + 3xy^4( x + y ) + 3x^4y( x + y) )
x^6 + y^6 + 9x²y²(x² + y² + 2xy) + 2( x³y³ + 3xy^4( x + y ) + 3x^4y( x + y) )
So after rearranging the terms
we get (x + y)^6 as
x6 + 6x5y + 15x4y2 + 20x³y3 + 15x²y4 + 6xy5+y6
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a bank of 10 movies is chosen from for a movie marathon in which 7 movies will be played in a specific order. in how many different ways can the movies for the movie marathon be chosen?
Answers
The movies for the movie marathon can be chosen in 120 different ways .
In the question ,
it is given that
total number of movies = 10 movies
number of movies that need to be played in specific order = 7 movies .
we have to find how many different ways can the movies be selected for the movie marathon .
we can solve this with Combination ,
where n = 10 and r = 7
So C(n,r) = C (10,7)
= 10! / (3! * 7! )
= (10*9*8*7!)/(3! * 7! )
= ( 10*9*8) / (3*2 )
= 10 * 3 * 4
= 120 ways .
Therefore , The movies for the movie marathon can be chosen in 120 different ways .
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Ingrid is buying her
grandmother a new
coffeemaker for
her birthday. If the
tax rate is 8.5%, how
much tax will she
pay on a coffee-
maker with a sales
price of $48.90?
085,
Answers
The total price of that Ingrid has to pay is $52.90.
How to find percentage?From the Latin word "per centum," which meaning "by the hundred," the word "percentage" was borrowed. The denominator of percent's is 100, making them fractions. In other words, it is the relationship between a component and a whole in which the value of the entire is consistently set to 100. The value of the entire is always 100 in a percentage, which is a ratio or fraction. Sam, for instance, would have received a score of 30 out of 100 on his arithmetic test if he received a 30%. When expressed as a ratio, it is written as 030:10 and as a fraction, 30/100. An quantity or part that is contained in each hundred is known as a percentage. The symbol "%" signifies that it is a fraction with 100 as the denominator.
Sales price = $48.90
Amount needed to be paid = 8.5% of $48.90 + $48.90
= 4.15 + $48.90
= $52.90
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Mrs. brown is putting different colored sand into cups for 4 daughters to make sand art bottles . pink is 3/4 and purple is 1/2. each color is divided equally among the daughters how much more pink sand will be available than purple sand for each girl
Answers
Using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.
What are mathematical operations?A function in mathematics known as an operation is one that transforms zero or more input values into a clearly defined output value. The operation's complexity is determined by its operand count. The rules that specify the order in which we should perform several operations to solve an expression are known as the order of operations. Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are in the following order: PEMDAS (from left to right).So, more pink sand is available to each girl:
Pink sand is 3/4 and purple sand is 1/2.Sand available to each girl:
Pink: 3/4 ÷ 4 ⇒ 3/4 × 1/4 ⇒ 3/16Purple: 1/2 ÷ 4 ⇒ 1/2 × 1/4 ⇒ 1/8Pink sand more to each girl:
3/16 - 1/83 - 2/161/16Therefore, using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.
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-5x - 7<3 and -5x-7> -42
Answers
Answer:
x<-2, x>-7
Step-by-step explanation:
1st one
add 7 to 3 =10
-5 divide by 10 = -2
2nd one
add 7 to -42 = -35
-35 divided by 5 = -7
